If one root of the equation `ax^(2)+bx+c=0` be double the another root of the eqaution, then prove that `2b^(2)=9ac.`

If one root of the equation ax^(2)+bx+c=0 is double the other,then the relation between a,b,c is

If one root of the equation ax^2+bx+c=0 is double the other, then the relation between a,b,c is

If one root of the equation ax^(2)+bx+c=0 is double the other and the relation between a,b,c is b^(2)=kac then k=

If one root of the equation ax^2+bx+c=0 is square the other root, then prove that b^3+ac^2+a^2c= 3abc .

If one root of the equation ax^(2)+bx+c=0 is two xx the other,then b^(2):ac=?

If the sum of the roots of the quadratic equation ax^(2)+bx+c=0 be equal to the sum of their squares, then prove that 2ac=ab+b^(2) .

If a root of the equation ax^(2)+bx+c=0 be reciprocal of a root of the equation a'x^(2)+b'x+c'=0 then

Solve the following problems: If one root of the quadratic equation ax^2+bx+c=0 is half of the other root, show that b^2=9ac/2.

If one root of the equation ax^(2)+bx+c=0 is the square of the other,prove that b^(3)+ac^(2)+a^(2)c=3abc